Those detained in Kashmir include ex-CMs Farooq Abdullah, who is a sitting MP from Srinagar, Omar Abdullah, and Mehbooba Mufti.
Satya Pal Malik oversaw a controversial period as the Governor of J&K, during which the central government abrogated Article 370.
IGP SP Pani said several persons have been arrested from different parts of the Valley including Srinagar.
India on August 5 withdrew Jammu and Kashmir's special status and bifurcated the state into two Union Territories.
Pakistan has tried to raise the Kashmir issue at several multilateral meets, but India has thwarted its efforts.
Shringla said that a lot of funds did not percolate down to the grassroots even as the Centre transferred money to the states.